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Finding the Fourth Proportional to 491.23, 674.29 and 434.74

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Solution

The fourth proportional to 491.23, 674.29 and 434.74 is: 596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.23 : 674.29 = 434.74 : x
  2. Step 2: Convert to fraction form
    491.23/674.29 = 434.74/x
  3. Step 3: Cross multiply
    491.23x = 674.29 × 434.74
  4. Step 4: Simplify right side
    491.23x = 293,140.83
  5. Step 5: Solve for x
    x = 293,140.83/491.23
  6. Step 6: Final answer
    x = 596.75

Related Problems

Find fourth proportional to 245.62, 337.15 and 217.37
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.